Home / 3,780.96-5,214-2,383.20

Finding the Fourth Proportional to 3,780.96, 5,214 and 2,383.20

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Solution

The fourth proportional to 3,780.96, 5,214 and 2,383.20 is: 3,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.96 : 5,214 = 2,383.20 : x
  2. Step 2: Convert to fraction form
    3,780.96/5,214 = 2,383.20/x
  3. Step 3: Cross multiply
    3,780.96x = 5,214 × 2,383.20
  4. Step 4: Simplify right side
    3,780.96x = 12,426,004.80
  5. Step 5: Solve for x
    x = 12,426,004.80/3,780.96
  6. Step 6: Final answer
    x = 3,286.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.